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Spinors in Four-Dimensional Spaces by Gerardo F. Torres del Castillo

Spinors in Four-Dimensional Spaces

by Gerardo F. Torres del Castillo
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Book cover type: Hardcover
  • ISBN13: 9780817649838
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 177
  • Original Price: EUR 119.99
  • Language: English
  • Edition: 2010
  • Item Weight: 440 grams
  • BISAC Subject(s): Group Theory, Applied, and Physics / Mathematical & Computational

From the Back Cover
Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature. Some of the useful applications of four-dimensional spinors, such as Yang-Mills theory, are derived in detail using illustrative examples.

Key topics and features:
- Uniform treatment of the spinor formalism for four-dimensional spaces of any signature, not only the usual signature (+ + + -) employed in relativity
- Examples taken from Riemannian geometry and special or general relativity are
discussed in detail, emphasizing the usefulness of the two-component spinor formalism
- Exercises in each chapter
- The relationship of Clifford algebras and Dirac four-component spinors is established
- Applications of the two-component formalism, focusing mainly on general relativity, are
presented in the context of actual computations

Spinors in Four-Dimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the two-component spinor formalism in any four-dimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and self-contained book is suitable as a seminar text, a reference book, and a self-study guide.

Reviews from the author's previous book, 3-D Spinors, Spin-Weighted Functions and their Applications:

In summary...the book gathers much of what can be done with 3-D spinors in an easy-to-read, self-contained form designed for applications that will supplement many available spinor treatments. The book...should be appealing to graduate students and researchers in relativity and mathematical physics.
--Mathematical Reviews

The present book provides an easy-to-read and unconventional presentation of the spinor formalism for three-dimensional spaces with a definite or indefinite metric...Following a nice and descriptive introduction...the final chapter contains some applications of the formalism to general relativity.
--Monatshefte für Mathematik

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